Download CBSE Class 12 Applied Mathematics Syllabus 202021 in PDF format. The link to download CBSE Syllabus for Class 12 Mathematics 202021 is given at the end of this article. Links to access other important articles are also available here.
CBSE Class 12 Applied Mathematics Syllabus: 202021
No. 
Units 
No. of Periods 
Marks 
I. 
Numbers, Quantification and Numerical Applications 
20 
06 
II. 
Algebra 
20 
10 
III. 
Inferential Statistics 
10 
06 
IV. 
Index Numbers and Timebased data 
30 
10 
V. 
Calculus 
60 
15 
VI. 
Financial Mathematics 
40 
15 
VII 
Linear Programming 
25 
08 
VIII 
Probability 
35 
10 

Total 
240 
80 

Internal Assessment 

20 
Unit I Numbers, Quantification and Numerical Applications
 Modulo Arithmetic
 Congruence modulo
 Simple arithmetic functions
 Allegation or Mixture
 Numerical problems on boats and streams; partnership; pipes and cistern; races and games, scheduling
 Numerical inequalities
Unit II Algebra
 Solution of simultaneous linear equations using elimination method (up to 3 variables)
 Matrices and types of matrices
 Algebra of matrices
 Determinants
 Inverse of a matrix
 Cramer’s rule and its application
 Simple applications of matrices and determinants including Leontiff input output model for two variables
Unit III Calculus
 Application of derivatives
 Increasing/Decreasing functions
 Maxima and Minima
 Marginal cost and marginal revenue using derivatives
 Integration
 Indefinite integral as family of curves
 Definite integral as area under the curve
 Integration of simple algebraic functions (primitive, by substitution, by parts)
 Application of Integration (consumer surplusproducer surplus)
 Differential equation (definition, order, degree)
 Formulating and solving linear differential equation
 Application of differential equation (Growth and Decay Model)
Unit IV Probability
 Probability Distribution
 Mathematical Expectation
 Variance
 Binomial Distribution
 Poisson distribution
 Normal distribution
 Basic applications and inferences
Unit V Inferential Statistics
 Population and sample
 Parameter, statistic and statistical inferences
 tTest (one sample ttest and two independent groups ttest)
Unit VI Index numbers and Timebased data
 Index numbers, uses of index numbers
 Construction of index numbers (simple and weighted)
 Tests of adequacy of index numbers (unit test and time reversal test)
 Trend analysis by moving average method
 Trend analysis by fitting of linear trend line using least squares
Unit VII Financial Mathematics
 Perpetuity, Sinking funds
 Valuation of Bonds (Present value approach and Relative price approach)
 Calculation of EMI
 Calculation of returns, nominal rate of return, effective rate of interest
 Compound annual growth rate
 Stock, shares and debentures
 Linear method of depreciation
Unit VIII Linear Programming
 Introduction and related terminologies (constraints, objective function, optimization)
 Mathematical formulation of linear programming problems
 Different types of linear programming problems (Transportation and assignment problem)
 Graphical method of solution for problems in two variables
 Feasible and infeasible regions (bounded and unbounded)
 Feasible and infeasible solutions, optimal feasible solutions (up to three non trivial constraints)
Practical: Use of spread sheet
Graphs of exponential function, demand and supply functions on Excel and study the nature of function at various points, maxima/minima
Matrix operations using Excel
Suggested practical using the spreadsheet
1. Plot the graphs of functions on excel and study the graph to find out point of maxima/minima;
2. Probability and dice roll simulation;
3. Matrix multiplication and inverse of a matrix;
4. Stock Market data sheet on excel;
5. Collect the data on weather, price, inflation, and pollution; analyze the data and make meaningful inferences;
6. Collect data from newspapers on traffic, sports activities and on market trends and use excel to study future trends.
List of Suggested projects ( class XI /XII)
Use of prime numbers in coding and decoding of messages; Prime numbers and divisbility rules;
Logrithms for financial calculations such as interest, present value, future vale, profit/loss etc with large values);
Cardinality of a set and orders of infinity;
Comparing sets of Natural numbers, rational numbers, real numbers and others; Use of Venn Diagram in solving practical problems;
Fibonacci Sequence: Its’ history and presence in nature; Testing the validity of mathematical statements and framing truth tables; Investigating graphs of functions for their properties;
Visit the census site of India http://www.censusindia.gov.in/Census_Data_2001/Census_Data_Online/Language/ State ment3.htm
Depict the information given there in a pictorial form;
Prepare a questionnaire to collect information about money spent by your friends in a month on activities like traveling, movies, recharging of the mobiles, etc. and draw interesting conclusions;
Check out the local newspaper and cut out examples of information depicted by graphs. Draw your own conclusions from the graph and compare it with the analysis given in the report; Analysis of population migration data – positive and negative influence on urbanization;
Each day newspaper tells us about the maximum temperature, minimum temperature, humidity. Collect the data for a period of 30 days and represent it graphically. Compare it with the data available for the same time period for the previous year;
Analysis career graph of a cricketer (batting average for a batsman and bowling average for a bowler). Conclude the best year of his career. It may be extended for other players also – tennis, badminton, athlete;
Vehicle registration data – correlating with pollution and number of accidents;
Visit a village near Delhi and collect data of various crops over past few years from the farmers. Also collect data about temperature variation and rain over the period for a particular crop. Try to find the effect of temperature and rain variations on various crops;
Choose any week of your ongoing semester. Collect data for the past 10 – 15 years for the amount of rainfall received in Delhi during that week. Predict amount of rainfall for the current year;
Weather prediction (prediction of monsoon from past data);
Visit Kirana shops near your home and collect the data of sale of certain commodities over a month. Try to figure out the stock of a particular commodity which should be in the store in order to maximize the profit;
Stock price movement ; Risk assessments by insurance firms from data; Predicting stock market crash;
Predicting outcome of election – exit polls; Predicting mortality of infants.
Assessment Plan
1. Overall Assessment of the course is out of 100 marks.
2. Assessment plan consists of External Exam and Internal Assessment.
3. External Exam will be of 03 hours duration Paper/Pencil Test consisting of
80 marks.
4. Weightage of Internal Assessment is of 20 marks. Internal Assessment can be a combination of activities spread throughout semester/ academic year. Internal Assessment activities include, projects and excel based practical. Teachers can choose activities from the suggested list of practical or they can plan activities of similar nature. For data based practical, teachers are encouraged to use data from local sources to make it more relevant for students.
5. Weightage for each area of internal assessment may be as under:
Sr.No. 
Area and weightage 
Assessment Area 
Marks allocated 
1 
Project work (10 marks) 
Project work and record 
5 
Year End Presentation/Viva of the Project 
5 

2 
Practical work (10 marks) 
Performance of practical and record 
5 
Yearend test of any one practical 
5 

Total 
20 